| 一类算子矩阵特征值的代数指标和代数重数 |
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| 引用本文： | 王华,阿拉坦仓,黄俊杰.一类算子矩阵特征值的代数指标和代数重数[J].数学的实践与认识,2012,42(15):251-255. |
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| 作者姓名： | 王华 阿拉坦仓 黄俊杰 |
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| 作者单位： | 1. 内蒙古工业大学理学院,内蒙古呼和浩特,010051
2. 内蒙古大学数学科学学院,内蒙古呼和浩特,010021 |
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| 基金项目： | 国家自然科学基金，教育部"春晖计划"项目，内蒙古自治区自然科学基金 |
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| 摘 要： | 自伴算子特征值的几何重数与代数重数相等,但对于非自伴算子不一定成立,这主要是特征值的代数指标起着决定性的作用.讨论了一类非自伴算子矩阵特征值的几何重数,代数指标与代数重数.
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| 关 键 词： | 算子矩阵 特征值 几何重数 代数指标 代数重数 |
Algebraic Index and Algebraic Multiplicity of the Eigenvalue of a Class of Operator Matrices |
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| WANG Hua
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Alatancang
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HUANG Jun-jie.Algebraic Index and Algebraic Multiplicity of the Eigenvalue of a Class of Operator Matrices[J].Mathematics in Practice and Theory,2012,42(15):251-255. |
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| Authors: | WANG Hua Alatancang HUANG Jun-jie |
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| Affiliation: | 1.College of Sciences,Inner Mongolia University of Technology,Hohhot 010051,China) (2.School of Mathematical Sciences,Inner Mongolia University,Hohhot 010021,China) |
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| Abstract: | The geometric multiplicity of each eigenvalue of a selfadjoint operator is equal to its algebraic multiplicity,but it is not the case for nonselfadjoint operators in general, which is decided by the algebraic index.This paper deals with the geometric multiplicity, algebraic index and algebraic multiplicity of each eigenvalue of a class of nonselfadjoint operator matrices. |
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| Keywords: | operator matrix eigenvalue geometric multiplicity algebraic index algebraic multiplicity |
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